Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 810 and 378.

**Answer**

$810=(2)({3}^{4})(5)$

$378=(2)({3}^{3})(7)$

The LCM of 810 and 378 is the product of the largest powers of each prime factor in both.

Thus the LCM of 810 and 378

$=(2)({3}^{4})(5)(7)$

$=5670$